According to a new CNN/ORC poll, the American public is broadly supportive of the executive actions issued by President Barack Obama this week aimed at increasing the reach of federal background checks for gun purchases and improving enforcement of existing laws.

The CNN/ORC poll finds 67% say they favor the changes Obama announced, and 32% oppose them. Support for the executive actions, designed to expand background checks to cover more gun purchases made online or at gun shows and to make it easier for the FBI to complete background checks efficiently, comes across party lines, with majorities of Democrats (85%), independents (65%) and Republicans (51%) in favor of them. Majorities back the measures across most demographic groups, in fact, including 57% of gun owners and 56% of rural residents.